Prevention of Nonlinear Oscillations in System Based on Integral Controller Algorithm by the Nonlinear Correction Method

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Prevention of Nonlinear Oscillations in System Based on Integral Controller Algorithm by the Nonlinear Correction Method. / Зайцева, Юлия Сергеевна.

In: Journal of Computer and Systems Sciences International, Vol. 61, No. 3, 01.06.2022, p. 447-454.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{43f4491ad74e4955a98d88007f1d4ff2,

title = "Prevention of Nonlinear Oscillations in System Based on Integral Controller Algorithm by the Nonlinear Correction Method",

abstract = "Abstract: Engineering systems contain actuators with force limits, so the level and rate saturation nonlinearities are often found in control systems. The proportional-integral-differential controller is widely used, in which the so-called integrator excitation effect, or windup, is possible, which occurs when the controller enters unstable states. Prevention of integrator excitation is carried out by synthesizing the controller with feedback from the difference between input and output nonlinearity signals. However, such an approach can{\textquoteright}t be applied to all systems; there are also computational difficulties in the synthesis. Therefore, this paper proposes to use the nonlinear correction method of systems. The nonlinear corrective device allows the amplitude and phase-frequency system response formation independently. The obtained system performance with correcting device is illustrated by a model of the aircraft{\textquoteright}s lateral-direction motion control system. A comparative analysis of a static anti-windup controller and a nonlinear correction in the time-frequency domain is presented. The generalized sensitivity functions for linear and nonlinear systems are calculated for various control laws. The nonlinear correction application is shown the extension of input signal amplitudes range under an integral control law.",

author = "Зайцева, {Юлия Сергеевна}",

note = "Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = jun,

day = "1",

doi = "10.1134/s1064230722030157",

language = "English",

volume = "61",

pages = "447--454",

journal = "Journal of Computer and Systems Sciences International",

issn = "1064-2307",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "3",

}

RIS

TY - JOUR

T1 - Prevention of Nonlinear Oscillations in System Based on Integral Controller Algorithm by the Nonlinear Correction Method

AU - Зайцева, Юлия Сергеевна

PY - 2022/6/1

Y1 - 2022/6/1

N2 - Abstract: Engineering systems contain actuators with force limits, so the level and rate saturation nonlinearities are often found in control systems. The proportional-integral-differential controller is widely used, in which the so-called integrator excitation effect, or windup, is possible, which occurs when the controller enters unstable states. Prevention of integrator excitation is carried out by synthesizing the controller with feedback from the difference between input and output nonlinearity signals. However, such an approach can’t be applied to all systems; there are also computational difficulties in the synthesis. Therefore, this paper proposes to use the nonlinear correction method of systems. The nonlinear corrective device allows the amplitude and phase-frequency system response formation independently. The obtained system performance with correcting device is illustrated by a model of the aircraft’s lateral-direction motion control system. A comparative analysis of a static anti-windup controller and a nonlinear correction in the time-frequency domain is presented. The generalized sensitivity functions for linear and nonlinear systems are calculated for various control laws. The nonlinear correction application is shown the extension of input signal amplitudes range under an integral control law.

AB - Abstract: Engineering systems contain actuators with force limits, so the level and rate saturation nonlinearities are often found in control systems. The proportional-integral-differential controller is widely used, in which the so-called integrator excitation effect, or windup, is possible, which occurs when the controller enters unstable states. Prevention of integrator excitation is carried out by synthesizing the controller with feedback from the difference between input and output nonlinearity signals. However, such an approach can’t be applied to all systems; there are also computational difficulties in the synthesis. Therefore, this paper proposes to use the nonlinear correction method of systems. The nonlinear corrective device allows the amplitude and phase-frequency system response formation independently. The obtained system performance with correcting device is illustrated by a model of the aircraft’s lateral-direction motion control system. A comparative analysis of a static anti-windup controller and a nonlinear correction in the time-frequency domain is presented. The generalized sensitivity functions for linear and nonlinear systems are calculated for various control laws. The nonlinear correction application is shown the extension of input signal amplitudes range under an integral control law.

UR - http://www.scopus.com/inward/record.url?scp=85132179382&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/5a709591-c2be-349c-b8d0-0d6cadd22f3f/

U2 - 10.1134/s1064230722030157

DO - 10.1134/s1064230722030157

M3 - Article

VL - 61

SP - 447

EP - 454

JO - Journal of Computer and Systems Sciences International

JF - Journal of Computer and Systems Sciences International

SN - 1064-2307

IS - 3

ER -

ID: 97331776